Existence and uniqueness results for mild solutions of random impulsive abstract neutral partial differential equation over real axis

In this paper, we discuss the existence and uniqueness of mild solutions of random impulsive abstract neutral partial differential equations in a real separable Hilbert space. The results are obtained by using Leray-Schauder Alternative and Banach Contraction Principle. Finally an example is given to illustrate our problem.     

The conversion of ligating dinitrogen into amines

Treatment of organohydrazido(2?)-complexes of molybdenum and tungsten with lithium aluminum hydride gives good yields of amines. Simple acid treatment gives essentially none, and base distillation yields around 40%.     

Complexes of osmium with tertiary arsines and carbonmonoxide

Osmium halides (Cl and Br) react with monotertiary arsines Ph₂RAs (R=Me, Et, Pr and Bu) in alcoholic medium to give paramagnetic octahedral complexes of the type OsX₃L₃ (X=Cl, Br; L=Ph₂RAs) which further react with carbonmonoxide to give dihalo dicarbonyl complexes of osmium(II) of the type OsX₂ (CO)₂ L₂. Similarly, osmium halides react with tertiary arsines in the presence of formaldehyde to give monocarbonyl complexes of osmium(II) of the type OsX₂ (CO)L₃. Structures have been assigned to all these compounds on the basis of IR and NMR studies.     

Robust reliable L2 – L∞ control for continuous‐time systems with nonlinear actuator failures

This article examines the reliable L₂ – L_∞ control design problem for a class of continuous‐time linear systems subject to external disturbances and mixed actuator failures via input delay approach. Also, due to the occurrence of nonlinear circumstances in the control input, a more generalized and practical actuator fault model containing both linear and nonlinear terms is constructed to the addressed control system. Our attention is focused on the design of the robust state feedback reliable sampled‐data controller that guarantees the robust asymptotic stability of the resulting closed‐loop system with an L₂ – L_∞ prescribed performance level γ > 0, for all the possible actuator failure cases. For this purpose, by constructing an appropriate Lyapunov–Krasovskii functional (LKF) and utilizing few integral inequality techniques, some novel sufficient stabilization conditions in terms of linear matrix inequalities (LMIs) are established for the considered system. Moreover, the established stabilizability conditions pave the way for designing the robust reliable sampled‐data controller as the solution to a set of LMIs. Finally, as an example, a wheeled mobile robot trailer model is considered to illustrate the effectiveness of the proposed control design scheme. © 2016 Wiley Periodicals, Inc. Complexity 21: 309–319, 2016     

Organo-rhodium(I) complexes containing mono and bidentate N-heterocycles

Complexes of the type [Rh(diolefin)(μ-X)]₂ [X = Cl or Br; diolefin = cod (cycloocta-1,5-diene) or nbd (norbornadiene)] undergo dihalobridge cleavage with 2-substituted benzimidazoles to produce mononuclear complexes, RhX(diolefin)(R-BzlH) (R = α-Py or Ph), and N-heterocycle bridged dimers, [RhX(diolefin)]₂(μ-N–N) (N–N = β-PyBzlH or γ-PyBzlH). Facile replacement ofone or both diolefins by CO occurs in the products to yield the corresponding di/tetracarbonyl complexes. Probable structures have been proposed for the complexes on the basis of physical, i.r., far-i.r. and ¹H- and ¹³C-n.m.r. spectral techniques and FAB-MS. This revised version was published online in June 2006 with corrections to the Cover Date.